Finding the Fourth Proportional to 1,061.20, 1,464.44 and 589.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.20 : 1,464.44 = 589.12 : x
2. Step 2: Convert to fraction form
   1,061.20/1,464.44 = 589.12/x
3. Step 3: Cross multiply
   1,061.20x = 1,464.44 × 589.12
4. Step 4: Simplify right side
   1,061.20x = 862,730.89
5. Step 5: Solve for x
   x = 862,730.89/1,061.20
6. Step 6: Final answer
   x = 812.98